In the previous article, we have discussed Python Program To Calculate the Angle Between Two Vectors

**Armstrong Number:**

Beginners sometimes ask what the Armstrong number, also known as the narcissist number, is. Because of the way the number behaves in a given number base, it is particularly interesting to new programmers and those learning a new programming language. The Armstrong number meaning in numerical number theory is the number in any given number base that forms the sum of the same number when each of its digits is raised to the power of the number’s digits.

**Ex: 153, 371 etc.**

**Explanation:**

Here 1^3 + 5^3 + 3^3 = 153 so it is Armstrong Number

**Example1:**

**Input:**

Given lower limit = 50 Given upper limit = 1800

**Output:**

The Armstrong numbers in the given range: 153 370 371 407 1634

**Example 2:**

**Input:**

Given lower limit = 500 Given upper limit = 2000

**Output:**

The Armstrong numbers in the given range: 1634

## Program to Find Armstrong Number in an Interval

Below are the ways to Find Armstrong numbers in a given interval.

### Method #1: Using For Loop (Static input)

**Approach:**

- Give the lower limit range as static input and store it in a variable.
- Give the upper limit range as static input and store it in another variable.
- Loop from lower limit range to upper limit range using For loop.
- Inside the for loop take a variable say ‘num’ and initialize it’s value to iterator value .
- Count how many digits there are in the number.
- Using mod and division operations, each digit is accessed one after the other.
- Each digit is multiplied by the number of digits, and the result is saved in a separate variable.
- Steps 6 and 7 are repeated until all of the digits have been used.
- Analyze the result obtained using the original number.
- If both are same/equal then it is armstrong number
- Else it is not armstrong number.

- Print the number if it is an Armstrong number in a Given range.
- The Exit of the Program.

**Below is the implementation:**

# Give the lower limit range as static input and store it in a variable. gvn_lower_lmt = 50 # Give the upper limit range as static input and store it in another variable. gvn_upper_lmt = 1800 # Loop from lower limit range to upper limit range using For loop. print("The Armstrong numbers in the given range: ") for numbr in range(gvn_lower_lmt, gvn_upper_lmt + 1): # Inside the for loop take a variable say 'num' and initialize it's value to # iterator value . # Count how many digits there are in the number. no_digits = len(str(numbr)) # intialize result to zero(tot_sum) tot_sum = 0 # copy the number in another variable(duplicate) tempry = numbr while tempry > 0: # getting the last digit rem = tempry % 10 # multiply the result by a digit raised to the power of the number of digits tot_sum += rem ** no_digits tempry //= 10 # It is Armstrong number if it is equal to original number if numbr == tot_sum: print(numbr)

**Output:**

The Armstrong numbers in the given range: 153 370 371 407 1634

### Method #2: Using For Loop (User input)

**Approach:**

- Give the lower limit range as user input and store it in a variable.
- Give the upper limit range as user input and store it in another variable.
- Loop from lower limit range to upper limit range using For loop.
- Inside the for loop take a variable say ‘num’ and initialize it’s value to iterator value .
- Count how many digits there are in the number.
- Using mod and division operations, each digit is accessed one after the other.
- Each digit is multiplied by the number of digits, and the result is saved in a separate variable.
- Steps 6 and 7 are repeated until all of the digits have been used.
- Analyze the result obtained using the original number.
- If both are same/equal then it is armstrong number
- Else it is not armstrong number.

- Print the number if it is an Armstrong number in a Given range.
- The Exit of the Program.

**Below is the implementation:**

# Give the lower limit range as user input and store it in a variable. gvn_lower_lmt = int(input("Enter some Random number = ")) # Give the upper limit range as user input and store it in another variable. gvn_upper_lmt = int(input("Enter some Random number = ")) # Loop from lower limit range to upper limit range using For loop. print("The Armstrong numbers in the given range: ") for numbr in range(gvn_lower_lmt, gvn_upper_lmt + 1): # Inside the for loop take a variable say 'num' and initialize it's value to # iterator value . # Count how many digits there are in the number. no_digits = len(str(numbr)) # intialize result to zero(tot_sum) tot_sum = 0 # copy the number in another variable(duplicate) tempry = numbr while tempry > 0: # getting the last digit rem = tempry % 10 # multiply the result by a digit raised to the power of the number of digits tot_sum += rem ** no_digits tempry //= 10 # It is Armstrong number if it is equal to original number if numbr == tot_sum: print(numbr)

**Output:**

Enter some Random number = 500 Enter some Random number = 2000 The Armstrong numbers in the given range: 1634

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